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It is reasonable to consider, in many cases, that individuals' latent traits have a hierarchical structure such that more general traits are a suitable composition of more specific ones. Existing item response models that account for such…

Methodology · Statistics 2020-07-28 Juliane Venturelli S. L. , Flavio B. Gonçalves , Dalton F. Andrade

Measurement bridges theory and empirics. Without measures that appropriately capture theoretical concepts, description will fail to represent reality and true causal inference will be impossible. Yet, the social sciences traffic in complex…

Applications · Statistics 2024-05-29 Marco Morucci , Margaret Foster , Kaitlyn Webster , So Jin Lee , David Siegel

Item Response Theory (IRT) is a ubiquitous model for understanding human behaviors and attitudes based on their responses to questions. Large modern datasets offer opportunities to capture more nuances in human behavior, potentially…

Machine Learning · Computer Science 2022-07-29 Mike Wu , Richard L. Davis , Benjamin W. Domingue , Chris Piech , Noah Goodman

Multidimensional item response theory is a statistical test theory used to estimate the latent skills of learners and the difficulty levels of problems based on test results. Both compensatory and non-compensatory models have been proposed…

Methodology · Statistics 2025-07-22 Hiroshi Tamano , Hideitsu Hino , Daichi Mochihashi

Item response theory (IRT) has become one of the most popular statistical models for psychometrics, a field of study concerned with the theory and techniques of psychological measurement. The IRT models are latent factor models tailored to…

Methodology · Statistics 2021-08-20 Yunxiao Chen , Xiaoou Li , Jingchen Liu , Zhiliang Ying

Large language models (LLMs) have demonstrated exceptional performance across a wide range of natural language tasks. However, selecting the optimal LLM to respond to a user query often necessitates a delicate balance between performance…

Artificial Intelligence · Computer Science 2025-06-24 Wei Song , Zhenya Huang , Cheng Cheng , Weibo Gao , Bihan Xu , GuanHao Zhao , Fei Wang , Runze Wu

This contribution presents a guide to the R package multilevLCA, which offers a complete and innovative set of technical tools for the latent class analysis of single-level and multilevel categorical data. We describe the available model…

Computation · Statistics 2024-04-11 Johan Lyrvall , Roberto Di Mari , Zsuzsa Bakk , Jennifer Oser , Jouni Kuha

Recent years have witnessed a surge in the number of large language models (LLMs), yet efficiently managing and utilizing these vast resources remains a significant challenge. In this work, we explore how to learn compact representations of…

Artificial Intelligence · Computer Science 2025-10-02 Jianhao Chen , Chenxu Wang , Gengrui Zhang , Peng Ye , Lei Bai , Wei Hu , Yuzhong Qu , Shuyue Hu

Item Response Theory (IRT) has been proposed within the field of Educational Psychometrics to assess student ability as well as test question difficulty and discrimination power. More recently, IRT has been applied to evaluate machine…

Machine Learning · Statistics 2023-08-01 Sevvandi Kandanaarachchi , Kate Smith-Miles

The proliferation of Large Language Models (LLMs) necessitates valid evaluation methods to guide downstream applications and actionable future improvements. The Item Response Theory (IRT) has recently emerged as a promising framework for…

Methodology · Statistics 2025-12-12 Zhiyu Xu , Jia Liu , Yixin Wang , Yuqi Gu

The rapid release of both language models and benchmarks makes it increasingly costly to evaluate every model on every dataset. In practice, models are often evaluated on different samples, making scores difficult to compare across studies.…

Computation and Language · Computer Science 2026-04-16 Eliya Habba , Itay Itzhak , Asaf Yehudai , Yotam Perlitz , Elron Bandel , Michal Shmueli-Scheuer , Leshem Choshen , Gabriel Stanovsky

Evaluating models and datasets in computer vision remains a challenging task, with most leaderboards relying solely on accuracy. While accuracy is a popular metric for model evaluation, it provides only a coarse assessment by considering a…

Computer Vision and Pattern Recognition · Computer Science 2024-09-09 Rahul Ramachandran , Tejal Kulkarni , Charchit Sharma , Deepak Vijaykeerthy , Vineeth N Balasubramanian

Item response theory (IRT) models have been widely used in educational measurement testing. When there are repeated observations available for individuals through time, a dynamic structure for the latent trait of ability needs to be…

Applications · Statistics 2013-04-17 Xiaojing Wang , James O. Berger , Donald S. Burdick

Within the educational context, a key goal is to assess students acquired skills and to cluster students according to their ability level. In this regard, a relevant element to be accounted for is the possible effect of the school students…

Applications · Statistics 2014-08-12 Michela Gnaldi , Silvia Bacci , Francesco Bartolucci

Accuracy-based evaluation of Large Language Models (LLMs) measures benchmark-specific performance rather than underlying medical competency: it treats all questions as equally informative, conflates model ability with item characteristics,…

Computation and Language · Computer Science 2026-04-07 Zhimeng Luo , Lixin Wu , Adam Frisch , Daqing He

Experimental evaluation is crucial in AI research, especially for assessing algorithms across diverse tasks. Many studies often evaluate a limited set of algorithms, failing to fully understand their strengths and weaknesses within a…

Machine Learning · Computer Science 2025-09-04 Brodie Oldfield , Sevvandi Kandanaarachchi , Ziqi Xu , Mario Andrés Muñoz

Most Item Response Theory (IRT) models for dichotomous responses are based on probit or logit link functions which assume a symmetric relationship between the probability of a correct response and the latent traits of individuals submitted…

Methodology · Statistics 2022-05-24 Flávio B. Gonçalves , Juliane Venturelli , Rosangela H. Loschi

We present an exploratory restricted latent class model where response data is for a single time point, polytomous, and differing across items, and where latent classes reflect a multi-attribute state where each attribute is ordinal. Our…

Methodology · Statistics 2026-03-10 Eric Alan Wayman , Steven Andrew Culpepper , Jeff Douglas , Jesse Bowers

Evaluating large language models (LLMs) typically requires thousands of benchmark items, making the process expensive, slow, and increasingly impractical at scale. Existing evaluation protocols rely on average accuracy over fixed item sets,…

Computation and Language · Computer Science 2026-02-03 Peiyu Li , Xiuxiu Tang , Si Chen , Ying Cheng , Ronald Metoyer , Ting Hua , Nitesh V. Chawla

Item Response Theory (IRT) and Factor Analysis (FA) are two major frameworks used to model multi-item measurements of latent traits. While the relationship between two-parameter IRT models and dichotomized FA models is well established, IRT…

Methodology · Statistics 2025-07-03 Ján Pavlech , Patrícia Martinková